On the solution sets of some nonconvex hyperbolic differential inclusions
On the solutions of nonlinear initial-boundary value problems.
On the solutions of the inhomogeneous evolution equation in Banach spaces
Vengono dati nuovi teoremi di regolarità per le soluzioni dell'equazione nel caso in cui è il generatore infinitesimale di un semigruppo analitico in uno spazio di Banach e è una funzione continua.
On the solvability of a fourth order operator differential equations.
On the solvability of a fourth-order multi-point boundary value problem
We are concerned with the solvability of the fourth-order four-point boundary value problem ⎧ , t ∈ [0,1], ⎨ u(0) = u(1) = 0, ⎩ au”(ζ₁) - bu”’(ζ₁) = 0, cu”(ζ₂) + du”’(ζ₂) = 0, where 0 ≤ ζ₁ < ζ₂ ≤ 1, f ∈ C([0,1] × [0,∞) × (-∞,0],[0,∞)). By using Guo-Krasnosel’skiĭ’s fixed point theorem on cones, some criteria are established to ensure the existence, nonexistence and multiplicity of positive solutions for this problem.
On the solvability of a system of wave and beam equations.
On the solvability of anti-periodic boundary value problems with impulses.
On the solvability of pseudodifferential operators
On the solvability of second-order impulsive differential equations with antiperiodic boundary value conditions.
On the Solvability of Semilinear Elliptic Equations with Nonlinear Boundary Conditions.
On the solvability of the Lyapunov equation for nonselfadjoint differential operators of order 2m with nonlocal boundary conditions
This paper is devoted to the solvability of the Lyapunov equation A*U + UA = I, where A is a given nonselfadjoint differential operator of order 2m with nonlocal boundary conditions, A* is its adjoint, I is the identity operator and U is the selfadjoint operator to be found. We assume that the spectra of A* and -A are disjoint. Under this restriction we prove the existence and uniqueness of the solution of the Lyapunov equation in the class of bounded operators.
On the space of φ-nuclear operators on l2.
We consider the generalization Sphi of the Schatten classes Sp obtained in correspondence with opportune continuous, strictly increasing, sub-additive functions phi such that phi(0) = 0 and phi(1) = 1. The purpose of this note is to study the spaces Sphi of the phi-nuclear operators and to compare their properties to those of the by now well-known space S1 of nuclear operators.
On the spectcral theory of elliptic differential operators. I.
On the Spectra of Certain Semi-Groups.
On the spectra of elements in certain algebras of vector valued functions and sequences.
On the Spectra of Finite-Dimensional Pertobations of Matrix Multiplication Operators.
On the spectra of non-selfadjoint differential operators and their adjoints in direct sum spaces.
On the Spectra of Schrödinger Operators with a Complex Potential.
On the spectra of some non-normal operators.
On the spectral bound of the generator of a -semigroup
We give several conditions implying that the spectral bound of the generator of a -semigroup is negative. Applications to stability theory are considered.